Let u = ----- 2 and w= P 0 -3 [] [3]. Au = (b) Find the matrix A. be vectors in R³. Let A be a 3 x 3 diagonalizable matrix such that D= Av= 4 -2 (a) Find an invertible 3 x 3 matrix P and a diagonal 3 x 3 matrix D such that P-¹AP = D. -6 and Aw =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section: Chapter Questions
Problem 17RQ
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Linear algebra diagonalization
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Let u =
B
-3
P=
0 , V =
-3
(b) Find the matrix A.
2
and w=
A
Au
-----------
Av = 4
be vectors in R³. Let A be a 3 x 3 diagonalizable matrix such that
(a) Find an invertible 3 x 3 matrix P and a diagonal 3 x 3 matrix D such that P-¹AP = D.
D
and Aw =
H
0
H
Transcribed Image Text:Try another question like this one Let u = B -3 P= 0 , V = -3 (b) Find the matrix A. 2 and w= A Au ----------- Av = 4 be vectors in R³. Let A be a 3 x 3 diagonalizable matrix such that (a) Find an invertible 3 x 3 matrix P and a diagonal 3 x 3 matrix D such that P-¹AP = D. D and Aw = H 0 H
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